dws008-01

benchmark decomposition benchmark_suitable precedence variable_bound set_partitioning set_packing mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Philipp Leise 11096 6064 8.38211e-04 hard dws 37412.604588 dws008-01.mps.gz

MILP for designing a decentralized water supply system for drinking water in skyscrapers. The nonlinear characteristics of pumps are integrated with the help of an aggregated convex combination. The instances vary in the total number of floors and load scenarios for water demand. First stage variables represent the layout decisions, second stage variables represent the operational parameters, such as the continuous rotating speed of pumps or binary switching decisions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 11096 10911
Constraints 6064 5655
Binaries 6608 6424
Integers 0 0
Continuous 4488 4487
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000838211 0.000896069
Nonzeroes 56400 55289
Constraint Classification Properties
Original Presolved
Total 6064 5655
Empty 0 0
Free 0 0
Singleton 64 0
Aggregations 0 0
Precedence 280 305
Variable Bound 840 501
Set Partitioning 84 84
Set Packing 28 28
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 4768 4737
General Linear 0 0
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 1.934498
Constraint % 0.86649 1.05414 0.86649 16.81700
Variable % 1.10593 1.16421 1.10593 6.05978
Score 0.877781

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
1 37412.6 37412.6 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dws008-01 in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance Status Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Objective Tags
dws012-01 open 26148 15576 0 10572 14280 132936 Philipp Leise dws 82030.55222224* decomposition precedence variable_bound set_partitioning set_packing mixed_binary
dws008-03 open 32280 18928 0 13352 16344 165168 Philipp Leise dws 62831.763297* decomposition precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
dws012-02 open 51108 30096 0 21012 26382 261120 Philipp Leise dws 126211.9341071* aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
dws012-03 open 76068 44616 0 31452 38484 389304 Philipp Leise dws 148877.4171892* precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
neos2 easy 2101 1040 0 1061 1103 7326 NEOS Server Submission neos-pseudoapplication-93 454.86469703 decomposition benchmark_suitable precedence variable_bound set_partitioning mixed_binary

Reference

@inproceedings{AltherrPelzIREC2016, 
author = "Altherr, Lena C. and Wolf, Jan and Ederer, Thorsten and Leise, Philipp and Pelz, Peter F.", 
title="Algorithmic Design of an Optimal Water Supply System with TOR",
year="2016",
booktitle={3rd International Rotating Equipment Conference}
}

Last Update Mär 19, 2019 by Gregor Hendel
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